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Heptagon area = 4

Heptagon area = 4 MathCelebrity logo Image to Crop

Enter heptagon info

The area of an heptagon = 4

Calculate side, perimeter

Calculate side:

A = 7/4s2cot(180°/7)

s2  =  4A
  7cot(180°/7)

s2  =  4 x 4
  7cot(25.714285714286)

s2  =  16
  7 x 2.0765213992964

s2  =  16
  14.535649795075

s2 = 1.1007419844018

s = √1.1007419844018

s = 1.0491625157247

Calculate Perimeter:

P = 7 x side

P = 7 x 1.0491625157247

P = 7.3441376100728

Calculate Sum of the Interior Angles:

Interior Angle Sum = (sides - 2) x 180°

Interior Angle Sum = (7 - 2) x 180°

Interior Angle Sum = 5 x 180°

Interior Angle sum = 900°

Calculate polygon diagonals
Diagonals  =  n(n - 3)
  2

Diagonals  =  7(7 - 3)
  2

Diagonals  =  7(4)
  2

Diagonals  =  28
  2

Diagonals = 14

Calculate 1 vertex diagonals:

1 vertex Diagonals = n - 3

1 vertex Diagonals = 7 - 3

1 vertex Diagonals = 4

Calculate triangles from one vertex:

Triangles = N - 2

Triangles = 7 - 2

Triangles = 5

Other Properties:

Sides (Edges) = 7

Faces = 1

Vertices = 7

Final Answers

A = 4
s = 1.0491625157247
P = 7.3441376100728
Interior Angle sum = 900°
Diagonals = 14
1 vertex Diagonals = 4
Triangles = 5
Sides (Edges) = 7
Faces = 1
Vertices = 7

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What is the Answer?

A = 4
s = 1.0491625157247
P = 7.3441376100728
Interior Angle sum = 900°
Diagonals = 14
1 vertex Diagonals = 4
Triangles = 5
Sides (Edges) = 7
Faces = 1
Vertices = 7

How does the Heptagon Calculator work?

Free Heptagon Calculator - Solves for side length, perimeter, and area of a heptagon.
This calculator has 1 input.

What 1 formula is used for the Heptagon Calculator?

What 5 concepts are covered in the Heptagon Calculator?

areaNumber of square units covering the shapeheptagonseven sided figureperimeterThe distance around a shape or objectpolygonA plane figure bounded by a set of straight linessideline segment joining two vertices in a polygon also known as an edge

Example calculations for the Heptagon Calculator

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Mittie Cheatwood

Update: 2024-05-29